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20412340440 = 23351151147787
BaseRepresentation
bin10011000000101010…
…111001100011011000
31221200120102022222220
4103000222321203120
5313301024343230
613213255144040
71321560013422
oct230052714330
957616368886
1020412340440
118725263548
123b58075020
131c03c4a16b
14db8d7d812
157e706ad10
hex4c0ab98d8

20412340440 has 64 divisors (see below), whose sum is σ = 61290639360. Its totient is φ = 5438524800.

The previous prime is 20412340409. The next prime is 20412340441. The reversal of 20412340440 is 4404321402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20412340440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412340441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64227 + ... + 212013.

It is an arithmetic number, because the mean of its divisors is an integer number (957666240).

Almost surely, 220412340440 is an apocalyptic number.

20412340440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20412340440 is an abundant number, since it is smaller than the sum of its proper divisors (40878298920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20412340440 is a wasteful number, since it uses less digits than its factorization.

20412340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148952 (or 148948 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20412340440 its reverse (4404321402), we get a palindrome (24816661842).

The spelling of 20412340440 in words is "twenty billion, four hundred twelve million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1151 2302 3453 4604 5755 6906 9208 11510 13812 17265 23020 27624 34530 46040 69060 138120 147787 295574 443361 591148 738935 886722 1182296 1477870 1773444 2216805 2955740 3546888 4433610 5911480 8867220 17734440 170102837 340205674 510308511 680411348 850514185 1020617022 1360822696 1701028370 2041234044 2551542555 3402056740 4082468088 5103085110 6804113480 10206170220 20412340440